What is the area of the kite in the figure below?

Solution:

The above figure can be seen as a polygon comprising 4 triangles.

If we add up the areas of four triangles we get the area of the kite.

(A).There are two triangles with Base = 2 feet and Altitude = 10 feet

Therefore the area of the two triangles are

(1/2) × 2 × 10 + (1/2) × 2 × 10

= 10 + 10 square feet

= 20 square feet

(B).There are two other triangles with Base = 2 feet and altitude = 20 feet

(1/2) × 2 × 20 + (1/2) × 2 × 20

= 20 + 20 square feet

= 40 square feet

The total area of the kite is

= (20 + 40) square feet = 60 feet

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What is the area of the kite in the figure below

Summary:

The area of the kite is 60 square feet